Harmonics Ben Kemink.

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Presentation transcript:

Harmonics Ben Kemink

The Analysis A higher harmonic is a sine wave, with a frequency that is an integer multiple of the fundamental frequency. Harmonic analysis resolves a distorted wave form into a DC-component, the fundamental sine wave and its higher harmonics. Distorted wave resolve fundamental wave 7th harmonic wave Amplitude frequency fundamental component 3rd harmonic 5th harmonic 7th harmonic 5th harmonic wave 3rd harmonic wave

Influence of the OBSERVATION WINDOW When a RECTANGULAR WINDOW is applied, the sampling period must be synchronized with the input signal period.

How many harmonics are needed to obtain a certain accuracy? The error is measured against RMS values! Note: The fundamental (= first harmonic) and the higher harmonics are pure sine-waves! This table shows the relationship between the number of harmonics included and the remaining error as a percentage of the ideal waveform. (k=harmonics order number)

How many Harmonics are enough?